中文摘要：

运用Lyapunov-Schmidt过程和解集连通理论,得到一阶两点边值问题{u′（t）=g（u（t））＋h（t）,t∈[0,π],u（0）=u（π）解的存在性和多解性,其中：g∈C（R,R）;h∈C（[0,π],R）.

英文摘要：

By using the Lyapunov-Schmidt procedure and the connectivity theory of the solution set, the author obtained the existence and multiplicity of solutions for a first-order two-point boundary value problem {u′（t）=g（u（t））＋h（t）,t∈[0,π],u（0）=u（π）where g∈C（R,R）;h∈C（[0,π],R）.